The approximate areas of Nebraska and Massachusetts are listed below:
Nebraska: 2 x 105 square kilometers
Massachusetts: 2.73 x 104 square kilometers
What's the difference between the areas of the two states? Express your answer using
either standard notation or scientific notation.

Answer: [tex]x_1 = -\frac{3}{2} \\x_2 = \frac{3}{2} \\\\[/tex]

X could equal either -3/2, or 3/2 because x is made into an absolute value

Answer:

[tex]x = 1 \frac{1}{2} \: \\ x = - 1 \frac{1}{2} [/tex]

Step-by-step explanation:

If we're solving for x, then we should divide both sides by 2 and then simplify.

[tex](2 |x| = 3) \div 2[/tex]

[tex] |x| = \frac{3}{2} [/tex]

This gives us the final answer of

[tex]x = ±\frac{3}{2} [/tex]

Which can be simplified into:

[tex]x = 1\frac{1}{2} , \: - 1\frac{1}{2} [/tex]

Answer:

C = 117.92° or 118°

Step-by-step explanation:

Law of Cosine: [tex]c^2=a^2+b^2-2ab*cos(C)[/tex]

Plug in your values to solve for C°

A = 50 , B = 55 , C = 90

[tex]90^2=50^2+55^2-(2*50*55)*cos(C)[/tex]

[tex]8100=2500+3025-5500*cos(C)[/tex]

Subtract 2500 and 3025 to move to other side.

[tex]8100-2500-3025=-5500*cos(C)[/tex]

[tex]2575=-5500*cos(C)[/tex]

Divide -5500 to leave cos(C) byitself

[tex]-\frac{2575}{5500} =cos(C)[/tex]

Inverse Cos(C) to get C byitself solving it in degree.

[tex]C=cos^{-1}(-\frac{2575}{5500} )[/tex]

C = 117.916339°

Round to Hundredths place or Whole Degree.

C = 117.92° or 118°

The answer to the given energy is  5096327.2 J

Remember that Joule is a derived unit of energy which is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter

m = 1 tonelada = 1000 kg

h = 500 m

v = 50 km / hr = 13.88 m / s

9 = 10 m / s²

Ep = ?

Ec = ?

The given formula Formula

Ep = m g h = 1000 kg X 10 m / s² X 500 m =  5000000 Joule

Ec = m V² / 2 = 1000 kg X (13.88 m / s)² / 2 = 96327.2 Joule

Et = Ep  +   Ec  =  5000000 J    +   96327.2 J = 5096327.2 J

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The equation of the straight line shown in the given graph is x = -2

From the question, we are to determine the equation the given straight line in the graph

To determine the equation of the line, we will use the given two points on the line

The given points are (-2, 2) and (-2, -3)

Using the formula,

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

Substitute the given points

(y - 2) / (x - (-2)) = (-3 - 2) / (-2 - (-2))

(y - 2) / (x + 2) = -5 / (-2 + 2)

(y - 2) / (x + 2) = -5 / 0

Cross multiply

0 × (y - 2) = -5 × (x + 2)

0 = -5x - 10

Add 5x to both sides

0 + 5x = -5x + 5x - 10

5x = -10

Divide both sides by 5

5x / 5 = -10/5

x = -2

Hence, the equation is x = -2

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the y intercept of the linear function in the table is

A linear function is represented using the equation

y = mx + c

the parameters are defined as

y = out put values

m  = slope

x = input variable

c = y - intercept

Solving for slope using values in the table

m = (y2 - y1) / (x2 - x1)

m = (10 - 13) / (4 - 5)

m = -3 / -1

m = 3

Using point slope formula

y - y1 = m(x - x1)

y - 13 = 3(x - 5)

y = 3x - 15 + 13

y = 3x - 2

hence the y intercept is -2

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Тhе sum оf thе first 6 tеrms оf thе given sеquеncе is аpproximаtely 14.56.

First detеrmine thе common rаtio (r) аnd thе first tеrm (а1).

Eаch tеrm is obtаined by multiрlying thе prеvious tеrm by 1/3. Тherefоre, thе common rаtio is r = 1/3.

Тhe first tеrm is а1 = 12.

Now wе cаn use thе fоrmulа fоr thе sum оf а finite geоmetric series:

Sn = а1(1 - r^n) / (1 - r)

whеrе n is thе number оf tеrms.

Plugging in thе vаlues, wе gеt:

Sn = 12(1 - (1/3)^6) / (1 - 1/3) ≈ 14.55

Rounding to thе neаrest hundredth, wе gеt:

Sn ≈ 14.55 ≈ 14.56

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Answer:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Step-by-step explanation:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Answer:

x = 8

Step-by-step explanation:

[tex]5|x-8|+2=2 \\ −5∣x−8∣=0 \\ ∣x−8∣=0 \\ x = 8[/tex]

First, you need to cancel out the 2 by subtracting 2 from both sides. Then, we divide both sides by -5. And finally, we remove the absolute value.

The linear equation for the scenario is y = x - 12

From the question, we have the following parameters that can be used in our computation:

Represent the original amount with x

and the amount left with y

So, we have

Amout left = x - 12

Using the variable representtaion, we have

y = x - 12

Hence. the scenario is y = x - 12

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The line of reflection of the graph is y = -3

The given graph is added as an attachment

From the graph, we can see that the shapes are symmetrical about the line y = -3

When shapes are symmetrical about a point or a line, then the point or the line is the point of reflection

This means that the line of reflection is y = -3

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Answer:

The calculated line of reflection of the graph is y = -3

Step-by-step explanation:

The proportional relationship is complete as follows:

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The constant for this problem is given as follows:

k = 146/19

k = 7.684.

Hence the equation is:

y = 7.684x.

The input for an output of 438 is given as follows:

7.684x = 438

x = 438/7.684

x = 57.

The output for an input of 76 is obtained as follows:

y = 7.684 x 76

y = 584.

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After 1 half-life, the amount of the element remaining is half of the original amount. After 2 half-lives, the amount remaining is half of the remaining amount after the first half-life. We can continue this pattern until we get to 30 days.

The number of half-lives in 30 days is 30/5 = 6.

So, after 1 half-life, the amount remaining is 948/2 = 474 grams.

After 2 half-lives, the amount remaining is 474/2 = 237 grams.

After 3 half-lives, the amount remaining is 237/2 = 118.5 grams.

After 4 half-lives, the amount remaining is 118.5/2 = 59.25 grams.

After 5 half-lives, the amount remaining is 59.25/2 = 29.625 grams.

After 6 half-lives, the amount remaining is 29.625/2 = 14.8125 grams.

Therefore, after 30 days, 14.8125 grams of the element remains

Answer:

  42 units³

Step-by-step explanation:

You want the volume of a rectangular prism that has a base area of 5 1/4 units² and a height of 8 units.

The formula for the volume of a prism is ...

  V = Bh

where B is the base area and h is the height perpendicular to the base.

Here, we have B = 5 1/4 u² and h = 8 u. The volume is ...

  V = (5 1/4 u²)(8 u) = 42 u³

The volume of the prism is 42 cubic units.

Answer:

x+y-7=0

Step-by-step explanation:

y=-(x-3)+4

y=-x+3+4

y=-x+7

x+y-7=0

Answer:

[tex]6x + 5y = - 30[/tex]

[tex]5y = - 6x - 30[/tex]

[tex]y = - \frac{6}{5} x - 6[/tex]

Since the slope of this line is -6/5, the slope of a perpendicular line is 5/6. The slopes of perpendicular lines are negative reciprocals.

There is enough data to indicate that Jordanian children are at risk of anemia.

The null hypothesis is that the true mean hemoglobin level for Jordanian children is greater than or equal to 12 g/dl, and the alternative hypothesis is that it is less than 12 g/dl.

Using the P-value method:

The test statistic for the one-sample t-test is given by:

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the population means (here, μ = 12), s is the sample standard deviation, and n is the sample size.

Substitute the given values,

t = (11.3 - 12) / (1.6 / √50) = -2.98

Using a t-distribution table with 49 degrees of freedom (df = n - 1), find that the p-value for this test is approximately 0.002.

Since the p-value is less than the significance level of α = 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that Jordanian children are at risk of anemia.

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Tessa's cumulative GPA for all four semesters is 3.44.

To find Tessa's cumulative GPA, we first need to calculate the total number of course units she has taken. For the first three semesters, she took 46 course units. For the fourth semester, she took 12 course units. So, in total, she has taken 46 + 12 = 58 course units.

Next, we need to calculate her total grade points. To do this, we multiply her GPA for each semester by the number of course units she took in that semester, and then add up the results. For the first three semesters, her total grade points are:

3.35 x 46 = 154.1

For the fourth semester, her total grade points are:

3.74 x 12 = 44.88

So her total grade points for all four semesters are:

154.1 + 44.88 = 198.98

Finally, we divide her total grade points by the total number of course units she has taken:

198.98 / 58 = 3.44

Therefore, Tessa's cumulative GPA for all four semesters is 3.44.

Answer:

Step-by-step explanation:

The angles formed by the chords and secants of the circle are;

28) m[tex]\widehat{AB}[/tex] = 60°

29) m[tex]\widehat{GH}[/tex] = 52°

30) m[tex]\widehat{DH}[/tex] = 90°

31) m∠1 = 90°

32) m∠2 = 58°

33) m∠3 = 32°

34) m∠5 = 49°

35) m∠6 = 90°

36) m∠7 = 99°

37) m∠8 = 96°

38) m∠9 = 116°

A chord is a segment that joins two distinct points on the circumference of a circle.

The angles formed by the arcs in the circle indicates that we get;

28) m[tex]\widehat{AB}[/tex] = 360° - 56° - 18° - 42° - 180° = 60°

29) m[tex]\widehat{GH}[/tex] = 90° - 38° = 52°

30) m[tex]\widehat{DH}[/tex] = 90°

31) m∠1 = 180°/2 = 90°

32) m∠2 = (56° + 18° + 42°)/2 = 58°

33) m∠3 = 90° - 58° = 32°

34) m∠5 = (1/2) × (38° + 18° + 42°) = 49° (Angles of intersecting chords theorem)

35) m∠6 = 90° (Supplementary angle to a right angle is 90 degrees angle is )

36) m∠7 = 180° - 32° - 49° = 99°

37) m∠8 = (1/2) × (52° + 38° + 60° + 42°) = 96°

38) m∠9 = m∠3 + (180° - m∠8) (External angles theorem and linear pair angles)

m∠9 = 32° + (180° - 96°) = 116°

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Step-by-step explanation:

For a RIGHT triangle   tan Φ = opposite leg / adjacent leg

 for this triangle

         tan 71 = x / 5.7

       5.7 * tan 71 = x    =   16.6  units

Answer:

A. 45(x+3)=60x

Step-by-step explanation:

Answer: To solve a two-step inequality, undo the addition or subtraction first, using inverse operations, and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa. Similarly, the inverse operation of multiplication is division and vice versa.

Step-by-step explanation:

Answer: THE PRODUCT

Step-by-step explanation:

The associative property of multiplication says that the product of three or more numbers remains the same no mater how the numbers are grouped.

example (3x5x2) is the same as ( 5x2x3) both = 30

Answer:

Step-by-step explanation:

Answer:

23 apple pies and 13 cherry pies were sold.

Step-by-step explanation:

Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.

From the problem, we know that:

The total number of pies sold is 36: a + c = 36

The total revenue from pie sales is $304.00: 7a + 11c = 304

We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:

Solve the first equation for a: a = 36 - c

Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304

Simplify: 252 - 7c + 11c = 304

Simplify further: 4c = 52

Solve for c: c = 13

Substitute c = 13 into the first equation to solve for a: a + 13 = 36

Simplify: a = 23

Therefore, 23 apple pies and 13 cherry pies were sold.

Result:

The probability of getting a sum greater than 25 = 1/9.

The answer is not among the given options.

To find the probability, we would need to consider the possible combinations of the spinner and number cube that result in a sum greater than 25.

First, note that the highest possible sum we can get is 12 (that is 6 from the spinner and 6 from the number cube). Therefore, we can remove all combinations that result in a sum of 24 or less.

Next, we can consider the combinations that result in a sum of 25 like this:

Spinner lands on 6, number cube lands on 5

Spinner lands on 5, number cube lands on 6

Spinner lands on 6, number cube lands on 4

Finally, we can consider the combinations that result in a sum greater than 25:

Spinner lands on 5, number cube lands on 5

Spinner lands on 6, number cube lands on 5

Spinner lands on 5, number cube lands on 6

Spinner lands on 6, number cube lands on 6

Here, 4 possible combinations can result in a sum greater than 25 from a total of 6 x 6 = 36 possible outcomes.

So, the probability of getting a sum greater than 25 is 4/36 = 1/9.

Therefore, none of the given answer choices matches this result.

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Answer:

48

Step-by-step explanation:

total cost will be the answer